Optimal Runge-Kutta Stability Polynomials for Multidimensional High-Order Methods

Author:

Hedayati Nasab SiavashORCID,Pereira Carlos A.,Vermeire Brian C.

Funder

Natural Sciences and Engineering Research Council of Canada

Fonds de Recherche du Qubec - Nature et Technologies

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference32 articles.

1. Huynh, H.T.: A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods. 18th AIAA Computational Fluid Dynamics Conference (2007)

2. Butcher, J.C.: Numerical methods for ordinary differential equations. Willy, Hoboken (2002)

3. Hairer, E., Nørsett, S.P., Wanner, G.: Solving ordinary differential equations I: nonstiff problems. Springer, NewYork (1993)

4. Wanner, G., Hairer, E.: Solving ordinary differential equations I: stiff and differential-algebraic problems. Springer, NewYork (1996)

5. Ketcheson, D.I., Ahmadia, A.J.: Optimal stability polynomials for numerical intergration of initial value problems. Commun. Appl. Math. Comput. Sci. 7(2), 247–271 (2012)

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